Highest Common Factor of 203, 319, 347, 74 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 203, 319, 347, 74 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 203, 319, 347, 74 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 203, 319, 347, 74 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 203, 319, 347, 74 is 1.
HCF(203, 319, 347, 74) = 1
HCF of 203, 319, 347, 74 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 203, 319, 347, 74 is 1.
Highest Common Factor of 203,319,347,74 is 1
Step 1: Since 319 > 203, we apply the division lemma to 319 and 203, to get
319 = 203 x 1 + 116
Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 116 and 203, to get
203 = 116 x 1 + 87
Step 3: We consider the new divisor 116 and the new remainder 87, and apply the division lemma to get
116 = 87 x 1 + 29
We consider the new divisor 87 and the new remainder 29, and apply the division lemma to get
87 = 29 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 203 and 319 is 29
Notice that 29 = HCF(87,29) = HCF(116,87) = HCF(203,116) = HCF(319,203) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 347 > 29, we apply the division lemma to 347 and 29, to get
347 = 29 x 11 + 28
Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 28 and 29, to get
29 = 28 x 1 + 1
Step 3: We consider the new divisor 28 and the new remainder 1, and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 347 is 1
Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(347,29) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74 > 1, we apply the division lemma to 74 and 1, to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74 is 1
Notice that 1 = HCF(74,1) .
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Frequently Asked Questions on HCF of 203, 319, 347, 74 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 203, 319, 347, 74?
Answer: HCF of 203, 319, 347, 74 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 203, 319, 347, 74 using Euclid's Algorithm?
Answer: For arbitrary numbers 203, 319, 347, 74 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.